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If \(a\neq2\) and \(ab\neq0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

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by BTGmoderatorLU » Wed Aug 04, 2021 8:28 am

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Source: Manhattan Prep

If \(a\neq 2\) and \(ab \neq 0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

A. ab
B. a
C. a + 2
D. a^2
E. 2b

The OA is C
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Wed Aug 04, 2021 8:28 am
Source: Manhattan Prep

If \(a\neq 2\) and \(ab \neq 0,\) which of the following is equal to \(\dfrac{b(a^2-4)}{ab-2b}?\)

A. ab
B. a
C. a + 2
D. a^2
E. 2b

The OA is C
Given: (b)(a^2 - 4)/(ab - 2b)
Factor the difference of squares in the numerator: (b)(a + 2)(a - 2)/(ab - 2b)
Factor out the b in the denominator: (b)(a + 2)(a - 2)/(b)(a - 2)
Simplify: a + 2

Answer: C
Brent Hanneson - Creator of GMATPrepNow.com
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